Families of Varieties of General Type

This book establishes the moduli theory of stable varieties giving the optimal approach to understanding families of varieties of general type. Starting from the DeligneMumford theory of the moduli of curves and using Mori''s program as a main tool the book develops the techniques necessary for a theory in all dimensions. The main results give all the expected general properties including a projective coarse moduli space. A wealth of previously unpublished material is also featured including Chapter 5 on numerical flatness criteria Chapter 7 on K-flatness and Chapter 9 on hulls and husks.